Abstract：The repair capability of carrier-based aircraft is constrained by finite repair channels. To make Palm's theorem and Metric theory applicable to the optimal allocation of carrier-base aircraft repairable spares, the modified accommodative models of repair and supply channels under conditions of dedicated channels, general channels and hybrid channels were researched and proposed by making the sum of actual repair time and waiting time under finite repair channels equal to the repair time under infinite repair channels based on the queuing theory. According to the modified accommodative models, the mean and variance models of two indenture spares in repair and supply channels were found. Combined with the application instance, the impact of spares demand rate and the amount of repair channels on the repair time were analyzed. The application effect of the stockpiles programs under the finite repair channels model and infinite repair channels model were compared and analyzed. The applicable conditions of each model were given. And the results show that the modified accommodative models are effective.

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Ruiz-Castro J E, Li Q L.Algorithm for a general discrete k-out-of-n:G system subject to several type of failure with an indefinite number of repairpersons[J].European Journal of Operational Research, 2011, 211(1):97-111.